Answer:
Kim will need to spend 67 minutes on her sixth ride
Step-by-step explanation:
Represent the number of minutes of her sixth ride by m.
Then the average number of minutes is
53 + 43 + 56 + 54 + 45 + m
---------------------------------------- = 53
6
Multiplying both sides of this equation by 6 yields
6(53 + 43 + 56 + 54 + 45 + m)
--------------------------------------------- = 6(53)
6
which simplifies to
251 + m
---------------- = 318
or 251 + m = 318. Subtract 251 from both sides to obtain the value of m:
m = 318 - 251 = 67
Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of 53 minutes.i
Answer:
it is 42 degrees
Step-by-step explanation:
the angle x is the same as the parallel angle
Answer:
C = 75.
Step-by-step explanation:
Set up our eq:
600 x
___ = ___
80 100
Cross multiply:
6 x 10 = 60 (add two zero's) = 6000
now, 80 * x. 80x
Now we divide:
6000
_____
80
C = 75
Answer:
P(x)=(x-2)(x-4)(x+3)(x+6)
Step-by-step explanation:
Given: P(x)=x⁴+3x³-28x²-36x+144
It is a polynomial with degree 4.
It should maximum four factor.
Hit and trial error method.
Put x = 2 into P(x)
P(2)=2⁴+3×2³-28×2²-36×2+144
P(2) = 0
So, x-2 would be factor of P(x)
Now divide x⁴+3x³-28x²-36x+144 by x-2 to get another factors
Put x = 4
now divide 
by x-4
Now factor 
Complete factor of P(x)
P(x)=(x-2)(x-4)(x+3)(x+6)
2x + y = 7
substitute
2x + (x+1) =7
combine like terms
3x+1 =7
subtract 1 from each side
3x =6
divide by 3
x=2
y = x+1
y =2+1
y=3
Answer: x=2, y=3
